Inequality in Real Numbers

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Related lectures (32)

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Real Numbers: Definitions and Equivalence Classes

Covers the existence of real numbers and equivalence classes of Cauchy sequences.

Real Numbers: Properties and Bounds

Explores real numbers' properties, bounds, limits, and density in the number line.

Real Analysis: Functions and Limits

Covers the basics of real analysis, including functions, limits, and max/min functions.

Real Numbers Sequences

Explores real number sequences, convergence, limits, boundedness, and monotonicity.

Properties of Real Numbers

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Real Number Sequences: Cauchy Sequences

Discusses Cauchy sequences, sub-sequences, and numerical series with parameters.

Real Numbers: Axioms and Bounds

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Real Numbers: Order and Completeness

Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.

Real Numbers: Definitions and Bounds

Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.

Real Analysis Basics

Covers the basics of real analysis, including limits, sequences, and continuous functions.